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A dark sector containing a Higgs field and a dark photon coupled to visiblephotons via a small kinetic mixing is considered. The mass of the dark gaugeboson becomes rescaled by the parameter involved in the kinetic mixing. We alsocalculate the total annihilation cross section for scalar Higgs interactingwith an external field and show that exhibits Sommerfeld enhancement. The modelcan be extended to a $SU(3)\times SU(2)\times U(1)$ dark sector. The mass ofthe dark $Z$ boson increases due to the kinetic mixing.

Higgs Model Coupled to Dark Photons